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1069056 = 2123229
BaseRepresentation
bin100000101000000000000
32000022110200
410011000000
5233202211
634525200
712041532
oct4050000
92008420
101069056
1167021a
12436800
132b57a1
141db852
15161b56
hex105000

1069056 has 78 divisors (see below), whose sum is σ = 3194490. Its totient is φ = 344064.

The previous prime is 1069051. The next prime is 1069087. The reversal of 1069056 is 6509601.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 147456 = 960^2 + 384^2 .

It is a super-2 number, since 2×10690562 = 2285761462272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36850 + ... + 36878.

It is an arithmetic number, because the mean of its divisors is an integer number (40955).

21069056 is an apocalyptic number.

1069056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597245).

1069056 is an abundant number, since it is smaller than the sum of its proper divisors (2125434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1069056 is an equidigital number, since it uses as much as digits as its factorization.

1069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1069056 is about 1033.9516429698. The cubic root of 1069056 is about 102.2508244544.

The spelling of 1069056 in words is "one million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2048 2088 2304 2784 3072 3712 4096 4176 4608 5568 6144 7424 8352 9216 11136 12288 14848 16704 18432 22272 29696 33408 36864 44544 59392 66816 89088 118784 133632 178176 267264 356352 534528 1069056